Pseudo-Sasakian manifolds endowed with a contact conformal connection
Pseudo-Sasakian manifolds M˜(U,ξ,η˜,g˜) endowed with a contact conformal connection are defined. It is proved that such manifolds are space forms M˜(K), K<0, and some remarkable properties of the Lie algebra of infinitesimal transformations of the principal vector field U˜ on M˜ are discussed. Pr...
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| Format: | Article |
| Language: | English |
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Wiley
1986-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171286000881 |
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| _version_ | 1832566959343927296 |
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| author | Vladislav V. Goldberg Radu Rosca |
| author_facet | Vladislav V. Goldberg Radu Rosca |
| author_sort | Vladislav V. Goldberg |
| collection | DOAJ |
| description | Pseudo-Sasakian manifolds M˜(U,ξ,η˜,g˜) endowed with a contact conformal connection are defined. It is proved that such manifolds are space forms M˜(K), K<0, and some remarkable properties of the Lie algebra of infinitesimal transformations of the principal vector field U˜ on M˜ are discussed. Properties of the leaves of a co-isotropic foliation on M˜ and properties of the tangent bundle manifold TM˜ having M˜ as a basis are studied. |
| format | Article |
| id | doaj-art-7ad9786301d845f48bab4582eb89fb63 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1986-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-7ad9786301d845f48bab4582eb89fb632025-02-03T01:02:44ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019473374710.1155/S0161171286000881Pseudo-Sasakian manifolds endowed with a contact conformal connectionVladislav V. Goldberg0Radu Rosca1Department of Mathematics, N.J. Institute of Technology, Newark 07102, N.J., USADepartment of Mathematics, N.J. Institute of Technology, Newark 07102, N.J., USAPseudo-Sasakian manifolds M˜(U,ξ,η˜,g˜) endowed with a contact conformal connection are defined. It is proved that such manifolds are space forms M˜(K), K<0, and some remarkable properties of the Lie algebra of infinitesimal transformations of the principal vector field U˜ on M˜ are discussed. Properties of the leaves of a co-isotropic foliation on M˜ and properties of the tangent bundle manifold TM˜ having M˜ as a basis are studied.http://dx.doi.org/10.1155/S0161171286000881Witt frameCICR submanifoldrelative contact infinitesimal transformationU-contact concircular pairingdifferential form of Godbillon-Veyform of E. CartanFinslerian formmechanical systemdynamical systemsprayCR product. |
| spellingShingle | Vladislav V. Goldberg Radu Rosca Pseudo-Sasakian manifolds endowed with a contact conformal connection International Journal of Mathematics and Mathematical Sciences Witt frame CICR submanifold relative contact infinitesimal transformation U-contact concircular pairing differential form of Godbillon-Vey form of E. Cartan Finslerian form mechanical system dynamical system spray CR product. |
| title | Pseudo-Sasakian manifolds endowed with a contact conformal connection |
| title_full | Pseudo-Sasakian manifolds endowed with a contact conformal connection |
| title_fullStr | Pseudo-Sasakian manifolds endowed with a contact conformal connection |
| title_full_unstemmed | Pseudo-Sasakian manifolds endowed with a contact conformal connection |
| title_short | Pseudo-Sasakian manifolds endowed with a contact conformal connection |
| title_sort | pseudo sasakian manifolds endowed with a contact conformal connection |
| topic | Witt frame CICR submanifold relative contact infinitesimal transformation U-contact concircular pairing differential form of Godbillon-Vey form of E. Cartan Finslerian form mechanical system dynamical system spray CR product. |
| url | http://dx.doi.org/10.1155/S0161171286000881 |
| work_keys_str_mv | AT vladislavvgoldberg pseudosasakianmanifoldsendowedwithacontactconformalconnection AT radurosca pseudosasakianmanifoldsendowedwithacontactconformalconnection |